Solve for x.

Question

5/3 x - 4 = -9
A. x = 5
B. x = -5
C. x = -3
D. x = 3

Answer 1

To solve the equation \( \frac{5}{3}x - 4 = -9 \), follow these steps:

1. Add 4 to both sides of the equation: \[ \frac{5}{3}x - 4 + 4 = -9 + 4 \] This simplifies to: \[ \frac{5}{3}x = -5 \]

2. Multiply both sides by the reciprocal of \( \frac{5}{3} \), which is \( \frac{3}{5} \): \[ x = -5 \cdot \frac{3}{5} \]

3. Simplify the right side: \[ x = -3 \]

Therefore, the solution is: \[ \boxed{-3} \]

So, the correct choice is C. \( x = -3 \).